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MÎļþ
function f=ObjFunc4LNL8(k,x0,yexp)
tspan=[0 2 4 6 8 10 12 14 16 18 20 22 24 26 28]';
[t1,x]=ode45(@kineticseqs8,tspan,x0,[],k);
y(:,1)=x(:,1);y(:,2)=x(:,2);y(:,3)=x(:,3);
f1=y(:,1)-yexp(:,1);f2=y(:,2)-yexp(:,2);f3=y(:,3)-yexp(:,3);
f=[f1 f2 f3];

MÎļþ
function dxdt=kineticseqs8(t,x,k) %Ä£ÐÍ·½³Ì
dxdt=[k(1)*x(1)*(1.0-x(1)/25.022)
     -k(1)/k(2)*x(1)*(1.0-x(1)/25.022)
     k(3)*x(1)];

³ÌÐò£º
k0=[0.3654 0.4 0.321];
x0=[1.964 95.668 0.059];
t1=[0 2 4 6 8 10 12 14 16 18 20 22 24 26 28]';
tspan=[0 2 4 6 8 10 12 14 16 18 20 22 24 26 28]';
yexp=[[1.964 3.281 6.250 10.714 15.625 20.758 23.660 24.553 24.843 25.022 24.970 24.703 24.3013 24.078 24.078];
    [95.668 90.514 76.770 70.658 63.541 60.228 59.442 55.442 54.215 51.883 49.306 46.116 44.398 44.275 42.925];
    [0.059 0.933 16.794 25.060 42.533 59.105 71.308 84.649 104.210 119.331 134.731 150.211 164.022 185.013 196.408]]';
lb=[0.2 0.3 0.3];ub=[0.5 2 0.6];
[k,resnorm,resid,exitflag,output,lambda,jacobian]=lsqnonlin(@ObjFunc4LNL8,k0,lb,ub,[],x0,yexp);%·ÇÏßÐÔÄâºÏ
ci=nlparci(k,resid,jacobian);%¼ÆËã·ÇÏßÐÔÄ£ÐÍÖвÎÊý¹À¼ÆÖµµÄ95%ÖÃÐÅÇø¼ä
y1=[yexp(:,1)]';
y2=[yexp(:,2)]';
y3=[yexp(:,3)]';
[t4plot,x4plot]=ode45(@kineticseqs8,[tspan(1) tspan(end)],x0,[],k);
plot(t1,y1,'bo',t1,y2,'g*',t1,y3,'r*',t4plot,x4plot,'k-');
fprintf('Estimated Parameter\n'),
fprintf('\tk=%.4f¡À%.4f\n',k(1),ci(1,2)-k(1))
fprintf('\tk=%.4f¡À%.4f\n',k(2),ci(2,2)-k(2))
fprintf('\tk=%.4f¡À%.4f\n',k(3),ci(3,2)-k(3))
[t,x]=ode45(@kineticseqs8,tspan,x0,[],k);
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